6066152951040 has 1728 divisors, whose sum is σ = 27802177966080. Its totient is φ = 1224054374400.

The previous prime is 6066152950981. The next prime is 6066152951059. The reversal of 6066152951040 is 401592516606.

6066152951040 is a `hidden beast` number, since 6 + 0 + 6 + 615 + 29 + 5 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6066152951040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 940339815 + ... + 940346265.

It is an arithmetic number, because the mean of its divisors is an integer number (16089223360).

Almost surely, 2^{6066152951040} is an apocalyptic number.

6066152951040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066152951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901088983040).

6066152951040 is an abundant number, since it is smaller than the sum of its proper divisors (21736025015040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6066152951040 is a wasteful number, since it uses less digits than its factorization.

6066152951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6066152951040 in words is "six trillion, sixty-six billion, one hundred fifty-two million, nine hundred fifty-one thousand, forty".